The following table gives the the approximate amount of emissions, E, of nitrogen oxides in millions of metric tons per year in the US. Lett be the number of years since 1940 and E = f(t). 1940 1950 1960 1970 1980 1990 E 6.8 9.2 12.8 18.5 20.7 20 (a) Using left endpoints, estimate the integral: 50 f(t) dt z (b) Using right endpoints, estimate the integral: 50 [.5⁰. f(t) dt z

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The following table gives the the approximate amount of emissions, E, of nitrogen oxides in millions of metric tons per year in the US. Lett be the number of years since 1940 and E = f(t).
(a) Using left endpoints, estimate the integral:
50
f(t) dt ≈
(b) Using right endpoints, estimate the integral:
• 50
f(t) dt ≈
t 1940 1950 1960 1970 1980 1990
E 6.8 9.2 12.8 18.5 20.7 20
Transcribed Image Text:The following table gives the the approximate amount of emissions, E, of nitrogen oxides in millions of metric tons per year in the US. Lett be the number of years since 1940 and E = f(t). (a) Using left endpoints, estimate the integral: 50 f(t) dt ≈ (b) Using right endpoints, estimate the integral: • 50 f(t) dt ≈ t 1940 1950 1960 1970 1980 1990 E 6.8 9.2 12.8 18.5 20.7 20
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